Match the following. Column –IColumn –II(i) The slope of the curve 2y2 = ax2 + b at (1, 1) is –1, then[A] a – b = 2(ii) If (a, b) be the point on the curve 9y2 = x3 where normal to the curve makes equal intercepts with the axes, then[B] a – b = 7/2(iii) If the tangent at a point (1, 2) on the curve be parallel to the normal at (– 2, 2) on the curve y = x2 + 6x + 10, then[C] a – b =4/3(iv) If the tangent to the curve xy + ax + by = 0 at (1, 1) is inclined at an angle tan–1 2 with x-axis, then[D] a – b = 3

Match the following. Column –IColumn –II(i) The slope of th…

Maths Differentiation and Applications of Derivatives General Matrix Match Questions

Published on: August 14, 2026

Match the following.

Column –I	Column –II
(i) The slope of the curve 2y2 = ax2 + b at (1, 1) is –1, then	[A] a – b = 2
(ii) If (a, b) be the point on the curve 9y2 = x3 where normal to the curve makes equal intercepts with the axes, then	[B] a – b = 7/2
(iii) If the tangent at a point (1, 2) on the curve be parallel to the normal at (– 2, 2) on the curve y = x2 + 6x + 10, then	[C] a – b =4/3
(iv) If the tangent to the curve xy + ax + by = 0 at (1, 1) is inclined at an angle tan–1 2 with x- axis, then	[D] a – b = 3

Correct Matrix Matching

Verified by Experts

The correct answer is:

(i) [A]; (ii) [C]; (iii) [B]; (iv) [D]

Ans.

(i) [A]

(ii) [C]

(iii) [B]

(iv) [D]

Sol.

(i) a – b = 2

(ii) a – b = 4/3

(iii) a – b = 7/2

(iv) a – b = 3

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